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Finding the Fourth Proportional to 385,887.40, 578,831.10 and 119,645.80

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Solution

The fourth proportional to 385,887.40, 578,831.10 and 119,645.80 is: 179,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,887.40 : 578,831.10 = 119,645.80 : x
  2. Step 2: Convert to fraction form
    385,887.40/578,831.10 = 119,645.80/x
  3. Step 3: Cross multiply
    385,887.40x = 578,831.10 × 119,645.80
  4. Step 4: Simplify right side
    385,887.40x = 69,254,710,024.38
  5. Step 5: Solve for x
    x = 69,254,710,024.38/385,887.40
  6. Step 6: Final answer
    x = 179,468.70

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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.