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Finding the Fourth Proportional to 459,841.48, 634,636.48 and 278,548.08

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Solution

The fourth proportional to 459,841.48, 634,636.48 and 278,548.08 is: 384,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,841.48 : 634,636.48 = 278,548.08 : x
  2. Step 2: Convert to fraction form
    459,841.48/634,636.48 = 278,548.08/x
  3. Step 3: Cross multiply
    459,841.48x = 634,636.48 × 278,548.08
  4. Step 4: Simplify right side
    459,841.48x = 176,776,773,001.96
  5. Step 5: Solve for x
    x = 176,776,773,001.96/459,841.48
  6. Step 6: Final answer
    x = 384,429.81

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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.