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Finding the Fourth Proportional to 586,461.60, 809,319.60 and 331,862.40

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Solution

The fourth proportional to 586,461.60, 809,319.60 and 331,862.40 is: 457,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,461.60 : 809,319.60 = 331,862.40 : x
  2. Step 2: Convert to fraction form
    586,461.60/809,319.60 = 331,862.40/x
  3. Step 3: Cross multiply
    586,461.60x = 809,319.60 × 331,862.40
  4. Step 4: Simplify right side
    586,461.60x = 268,582,744,823.04
  5. Step 5: Solve for x
    x = 268,582,744,823.04/586,461.60
  6. Step 6: Final answer
    x = 457,971.58

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1.5x scale

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.