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Finding the Fourth Proportional to 564,931.75, 779,416.13 and 319,883.02

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Solution

The fourth proportional to 564,931.75, 779,416.13 and 319,883.02 is: 441,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,931.75 : 779,416.13 = 319,883.02 : x
  2. Step 2: Convert to fraction form
    564,931.75/779,416.13 = 319,883.02/x
  3. Step 3: Cross multiply
    564,931.75x = 779,416.13 × 319,883.02
  4. Step 4: Simplify right side
    564,931.75x = 249,321,980,004.62
  5. Step 5: Solve for x
    x = 249,321,980,004.62/564,931.75
  6. Step 6: Final answer
    x = 441,331.15

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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.