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Finding the Fourth Proportional to 788,385,264.72, 1,087,978,714.70 and 435,984,966.15

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Solution

The fourth proportional to 788,385,264.72, 1,087,978,714.70 and 435,984,966.15 is: 601,663,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,385,264.72 : 1,087,978,714.70 = 435,984,966.15 : x
  2. Step 2: Convert to fraction form
    788,385,264.72/1,087,978,714.70 = 435,984,966.15/x
  3. Step 3: Cross multiply
    788,385,264.72x = 1,087,978,714.70 × 435,984,966.15
  4. Step 4: Simplify right side
    788,385,264.72x = 474,342,363,098,220,032
  5. Step 5: Solve for x
    x = 474,342,363,098,220,032/788,385,264.72
  6. Step 6: Final answer
    x = 601,663,151.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.