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Finding the Fourth Proportional to 521,547.64, 719,710.86 and 320,304.76

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Solution

The fourth proportional to 521,547.64, 719,710.86 and 320,304.76 is: 442,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,547.64 : 719,710.86 = 320,304.76 : x
  2. Step 2: Convert to fraction form
    521,547.64/719,710.86 = 320,304.76/x
  3. Step 3: Cross multiply
    521,547.64x = 719,710.86 × 320,304.76
  4. Step 4: Simplify right side
    521,547.64x = 230,526,814,281.69
  5. Step 5: Solve for x
    x = 230,526,814,281.69/521,547.64
  6. Step 6: Final answer
    x = 442,005.29

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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.