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Finding the Fourth Proportional to 650,246.40, 975,369.60 and 471,916.80

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Solution

The fourth proportional to 650,246.40, 975,369.60 and 471,916.80 is: 707,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,246.40 : 975,369.60 = 471,916.80 : x
  2. Step 2: Convert to fraction form
    650,246.40/975,369.60 = 471,916.80/x
  3. Step 3: Cross multiply
    650,246.40x = 975,369.60 × 471,916.80
  4. Step 4: Simplify right side
    650,246.40x = 460,293,300,449.28
  5. Step 5: Solve for x
    x = 460,293,300,449.28/650,246.40
  6. Step 6: Final answer
    x = 707,875.20

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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.