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Finding the Fourth Proportional to 406,038.69, 608,715.46 and 255,948.07

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Solution

The fourth proportional to 406,038.69, 608,715.46 and 255,948.07 is: 383,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,038.69 : 608,715.46 = 255,948.07 : x
  2. Step 2: Convert to fraction form
    406,038.69/608,715.46 = 255,948.07/x
  3. Step 3: Cross multiply
    406,038.69x = 608,715.46 × 255,948.07
  4. Step 4: Simplify right side
    406,038.69x = 155,799,547,166.16
  5. Step 5: Solve for x
    x = 155,799,547,166.16/406,038.69
  6. Step 6: Final answer
    x = 383,706.16

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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.