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Finding the Fourth Proportional to 459,663,677.70, 689,495,516.55 and 402,268,049.70

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Solution

The fourth proportional to 459,663,677.70, 689,495,516.55 and 402,268,049.70 is: 603,402,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,663,677.70 : 689,495,516.55 = 402,268,049.70 : x
  2. Step 2: Convert to fraction form
    459,663,677.70/689,495,516.55 = 402,268,049.70/x
  3. Step 3: Cross multiply
    459,663,677.70x = 689,495,516.55 × 402,268,049.70
  4. Step 4: Simplify right side
    459,663,677.70x = 277,362,016,719,462,560
  5. Step 5: Solve for x
    x = 277,362,016,719,462,560/459,663,677.70
  6. Step 6: Final answer
    x = 603,402,074.55

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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.