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Finding the Fourth Proportional to 459,298.46, 688,974.51 and 139,460.77

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Solution

The fourth proportional to 459,298.46, 688,974.51 and 139,460.77 is: 209,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,298.46 : 688,974.51 = 139,460.77 : x
  2. Step 2: Convert to fraction form
    459,298.46/688,974.51 = 139,460.77/x
  3. Step 3: Cross multiply
    459,298.46x = 688,974.51 × 139,460.77
  4. Step 4: Simplify right side
    459,298.46x = 96,084,911,707.12
  5. Step 5: Solve for x
    x = 96,084,911,707.12/459,298.46
  6. Step 6: Final answer
    x = 209,199.29

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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.