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Finding the Fourth Proportional to 459,730.84, 634,280.88 and 278,384.80

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Solution

The fourth proportional to 459,730.84, 634,280.88 and 278,384.80 is: 384,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,730.84 : 634,280.88 = 278,384.80 : x
  2. Step 2: Convert to fraction form
    459,730.84/634,280.88 = 278,384.80/x
  3. Step 3: Cross multiply
    459,730.84x = 634,280.88 × 278,384.80
  4. Step 4: Simplify right side
    459,730.84x = 176,574,155,922.62
  5. Step 5: Solve for x
    x = 176,574,155,922.62/459,730.84
  6. Step 6: Final answer
    x = 384,081.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.