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Finding the Fourth Proportional to 604,275.30, 905,319.45 and 288,035.10

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Solution

The fourth proportional to 604,275.30, 905,319.45 and 288,035.10 is: 431,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,275.30 : 905,319.45 = 288,035.10 : x
  2. Step 2: Convert to fraction form
    604,275.30/905,319.45 = 288,035.10/x
  3. Step 3: Cross multiply
    604,275.30x = 905,319.45 × 288,035.10
  4. Step 4: Simplify right side
    604,275.30x = 260,763,778,312.70
  5. Step 5: Solve for x
    x = 260,763,778,312.70/604,275.30
  6. Step 6: Final answer
    x = 431,531.42

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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.