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Finding the Fourth Proportional to 513,702.97, 709,108.80 and 459,894.47

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Solution

The fourth proportional to 513,702.97, 709,108.80 and 459,894.47 is: 634,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,702.97 : 709,108.80 = 459,894.47 : x
  2. Step 2: Convert to fraction form
    513,702.97/709,108.80 = 459,894.47/x
  3. Step 3: Cross multiply
    513,702.97x = 709,108.80 × 459,894.47
  4. Step 4: Simplify right side
    513,702.97x = 326,115,210,478.19
  5. Step 5: Solve for x
    x = 326,115,210,478.19/513,702.97
  6. Step 6: Final answer
    x = 634,832.25

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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.