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Finding the Fourth Proportional to 563,521, 845,330.70 and 142,796.89

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Solution

The fourth proportional to 563,521, 845,330.70 and 142,796.89 is: 214,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,521 : 845,330.70 = 142,796.89 : x
  2. Step 2: Convert to fraction form
    563,521/845,330.70 = 142,796.89/x
  3. Step 3: Cross multiply
    563,521x = 845,330.70 × 142,796.89
  4. Step 4: Simplify right side
    563,521x = 120,710,594,981.52
  5. Step 5: Solve for x
    x = 120,710,594,981.52/563,521
  6. Step 6: Final answer
    x = 214,207.80

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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.