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Finding the Fourth Proportional to 338,030.40, 506,980.80 and 101,380.80

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Solution

The fourth proportional to 338,030.40, 506,980.80 and 101,380.80 is: 152,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,030.40 : 506,980.80 = 101,380.80 : x
  2. Step 2: Convert to fraction form
    338,030.40/506,980.80 = 101,380.80/x
  3. Step 3: Cross multiply
    338,030.40x = 506,980.80 × 101,380.80
  4. Step 4: Simplify right side
    338,030.40x = 51,398,119,088.64
  5. Step 5: Solve for x
    x = 51,398,119,088.64/338,030.40
  6. Step 6: Final answer
    x = 152,051.77

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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.