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Finding the Fourth Proportional to 288,007.70, 432,011.55 and 77,666.90

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Solution

The fourth proportional to 288,007.70, 432,011.55 and 77,666.90 is: 116,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,007.70 : 432,011.55 = 77,666.90 : x
  2. Step 2: Convert to fraction form
    288,007.70/432,011.55 = 77,666.90/x
  3. Step 3: Cross multiply
    288,007.70x = 432,011.55 × 77,666.90
  4. Step 4: Simplify right side
    288,007.70x = 33,552,997,852.70
  5. Step 5: Solve for x
    x = 33,552,997,852.70/288,007.70
  6. Step 6: Final answer
    x = 116,500.35

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1.5x scale

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.