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Finding the Fourth Proportional to 514,275.75, 771,264.69 and 154,432.07

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Solution

The fourth proportional to 514,275.75, 771,264.69 and 154,432.07 is: 231,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,275.75 : 771,264.69 = 154,432.07 : x
  2. Step 2: Convert to fraction form
    514,275.75/771,264.69 = 154,432.07/x
  3. Step 3: Cross multiply
    514,275.75x = 771,264.69 × 154,432.07
  4. Step 4: Simplify right side
    514,275.75x = 119,108,001,051.41
  5. Step 5: Solve for x
    x = 119,108,001,051.41/514,275.75
  6. Step 6: Final answer
    x = 231,603.38

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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.