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Finding the Fourth Proportional to 459,089.60, 688,731.60 and 139,215.20

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Solution

The fourth proportional to 459,089.60, 688,731.60 and 139,215.20 is: 208,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,089.60 : 688,731.60 = 139,215.20 : x
  2. Step 2: Convert to fraction form
    459,089.60/688,731.60 = 139,215.20/x
  3. Step 3: Cross multiply
    459,089.60x = 688,731.60 × 139,215.20
  4. Step 4: Simplify right side
    459,089.60x = 95,881,907,440.32
  5. Step 5: Solve for x
    x = 95,881,907,440.32/459,089.60
  6. Step 6: Final answer
    x = 208,852.28

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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.