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Finding the Fourth Proportional to 710,807.76, 1,065,684.92 and 430,258.64

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Solution

The fourth proportional to 710,807.76, 1,065,684.92 and 430,258.64 is: 645,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,807.76 : 1,065,684.92 = 430,258.64 : x
  2. Step 2: Convert to fraction form
    710,807.76/1,065,684.92 = 430,258.64/x
  3. Step 3: Cross multiply
    710,807.76x = 1,065,684.92 × 430,258.64
  4. Step 4: Simplify right side
    710,807.76x = 458,520,144,347.71
  5. Step 5: Solve for x
    x = 458,520,144,347.71/710,807.76
  6. Step 6: Final answer
    x = 645,069.13

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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.