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Finding the Fourth Proportional to 583,830.40, 875,680.80 and 478,465.60

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Solution

The fourth proportional to 583,830.40, 875,680.80 and 478,465.60 is: 717,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,830.40 : 875,680.80 = 478,465.60 : x
  2. Step 2: Convert to fraction form
    583,830.40/875,680.80 = 478,465.60/x
  3. Step 3: Cross multiply
    583,830.40x = 875,680.80 × 478,465.60
  4. Step 4: Simplify right side
    583,830.40x = 418,983,139,380.48
  5. Step 5: Solve for x
    x = 418,983,139,380.48/583,830.40
  6. Step 6: Final answer
    x = 717,645.29

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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.