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Finding the Fourth Proportional to 586,569.60, 879,854.40 and 409,622.40

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Solution

The fourth proportional to 586,569.60, 879,854.40 and 409,622.40 is: 614,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,569.60 : 879,854.40 = 409,622.40 : x
  2. Step 2: Convert to fraction form
    586,569.60/879,854.40 = 409,622.40/x
  3. Step 3: Cross multiply
    586,569.60x = 879,854.40 × 409,622.40
  4. Step 4: Simplify right side
    586,569.60x = 360,408,070,978.56
  5. Step 5: Solve for x
    x = 360,408,070,978.56/586,569.60
  6. Step 6: Final answer
    x = 614,433.60

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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.