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Finding the Fourth Proportional to 525,125.40, 788,271.30 and 288,929.40

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Solution

The fourth proportional to 525,125.40, 788,271.30 and 288,929.40 is: 433,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,125.40 : 788,271.30 = 288,929.40 : x
  2. Step 2: Convert to fraction form
    525,125.40/788,271.30 = 288,929.40/x
  3. Step 3: Cross multiply
    525,125.40x = 788,271.30 × 288,929.40
  4. Step 4: Simplify right side
    525,125.40x = 227,754,753,746.22
  5. Step 5: Solve for x
    x = 227,754,753,746.22/525,125.40
  6. Step 6: Final answer
    x = 433,714.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.