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Finding the Fourth Proportional to 290,386, 435,595.40 and 103,397.50

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Solution

The fourth proportional to 290,386, 435,595.40 and 103,397.50 is: 155,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,386 : 435,595.40 = 103,397.50 : x
  2. Step 2: Convert to fraction form
    290,386/435,595.40 = 103,397.50/x
  3. Step 3: Cross multiply
    290,386x = 435,595.40 × 103,397.50
  4. Step 4: Simplify right side
    290,386x = 45,039,475,371.50
  5. Step 5: Solve for x
    x = 45,039,475,371.50/290,386
  6. Step 6: Final answer
    x = 155,102.09

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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.