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Finding the Fourth Proportional to 459,315.95, 688,929.41 and 139,470.63

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Solution

The fourth proportional to 459,315.95, 688,929.41 and 139,470.63 is: 209,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,315.95 : 688,929.41 = 139,470.63 : x
  2. Step 2: Convert to fraction form
    459,315.95/688,929.41 = 139,470.63/x
  3. Step 3: Cross multiply
    459,315.95x = 688,929.41 × 139,470.63
  4. Step 4: Simplify right side
    459,315.95x = 96,085,421,898.62
  5. Step 5: Solve for x
    x = 96,085,421,898.62/459,315.95
  6. Step 6: Final answer
    x = 209,192.43

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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.