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Finding the Fourth Proportional to 288,657.18, 432,690.53 and 146,238.53

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Solution

The fourth proportional to 288,657.18, 432,690.53 and 146,238.53 is: 219,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,657.18 : 432,690.53 = 146,238.53 : x
  2. Step 2: Convert to fraction form
    288,657.18/432,690.53 = 146,238.53/x
  3. Step 3: Cross multiply
    288,657.18x = 432,690.53 × 146,238.53
  4. Step 4: Simplify right side
    288,657.18x = 63,276,024,157.48
  5. Step 5: Solve for x
    x = 63,276,024,157.48/288,657.18
  6. Step 6: Final answer
    x = 219,208.21

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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.