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Finding the Fourth Proportional to 459,860.09, 689,900.90 and 144,316.89

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Solution

The fourth proportional to 459,860.09, 689,900.90 and 144,316.89 is: 216,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,860.09 : 689,900.90 = 144,316.89 : x
  2. Step 2: Convert to fraction form
    459,860.09/689,900.90 = 144,316.89/x
  3. Step 3: Cross multiply
    459,860.09x = 689,900.90 × 144,316.89
  4. Step 4: Simplify right side
    459,860.09x = 99,564,351,574.62
  5. Step 5: Solve for x
    x = 99,564,351,574.62/459,860.09
  6. Step 6: Final answer
    x = 216,510.10

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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.