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Finding the Fourth Proportional to 288,643.10, 432,308.55 and 148,237.70

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Solution

The fourth proportional to 288,643.10, 432,308.55 and 148,237.70 is: 222,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,643.10 : 432,308.55 = 148,237.70 : x
  2. Step 2: Convert to fraction form
    288,643.10/432,308.55 = 148,237.70/x
  3. Step 3: Cross multiply
    288,643.10x = 432,308.55 × 148,237.70
  4. Step 4: Simplify right side
    288,643.10x = 64,084,425,142.34
  5. Step 5: Solve for x
    x = 64,084,425,142.34/288,643.10
  6. Step 6: Final answer
    x = 222,019.60

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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.