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Finding the Fourth Proportional to 506,541.60, 699,023.52 and 302,680.80

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Solution

The fourth proportional to 506,541.60, 699,023.52 and 302,680.80 is: 417,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,541.60 : 699,023.52 = 302,680.80 : x
  2. Step 2: Convert to fraction form
    506,541.60/699,023.52 = 302,680.80/x
  3. Step 3: Cross multiply
    506,541.60x = 699,023.52 × 302,680.80
  4. Step 4: Simplify right side
    506,541.60x = 211,580,998,252.42
  5. Step 5: Solve for x
    x = 211,580,998,252.42/506,541.60
  6. Step 6: Final answer
    x = 417,697.18

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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.