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Finding the Fourth Proportional to 459,006.90, 688,510.35 and 407,831.10

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Solution

The fourth proportional to 459,006.90, 688,510.35 and 407,831.10 is: 611,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,006.90 : 688,510.35 = 407,831.10 : x
  2. Step 2: Convert to fraction form
    459,006.90/688,510.35 = 407,831.10/x
  3. Step 3: Cross multiply
    459,006.90x = 688,510.35 × 407,831.10
  4. Step 4: Simplify right side
    459,006.90x = 280,795,933,401.89
  5. Step 5: Solve for x
    x = 280,795,933,401.89/459,006.90
  6. Step 6: Final answer
    x = 611,746.65

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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.