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Finding the Fourth Proportional to 459,715, 634,412.54 and 253,007.19

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Solution

The fourth proportional to 459,715, 634,412.54 and 253,007.19 is: 349,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,715 : 634,412.54 = 253,007.19 : x
  2. Step 2: Convert to fraction form
    459,715/634,412.54 = 253,007.19/x
  3. Step 3: Cross multiply
    459,715x = 634,412.54 × 253,007.19
  4. Step 4: Simplify right side
    459,715x = 160,510,934,046.16
  5. Step 5: Solve for x
    x = 160,510,934,046.16/459,715
  6. Step 6: Final answer
    x = 349,153.14

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1.5x scale

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.