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Finding the Fourth Proportional to 389,360, 584,103.18 and 152,574.32

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Solution

The fourth proportional to 389,360, 584,103.18 and 152,574.32 is: 228,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,360 : 584,103.18 = 152,574.32 : x
  2. Step 2: Convert to fraction form
    389,360/584,103.18 = 152,574.32/x
  3. Step 3: Cross multiply
    389,360x = 584,103.18 × 152,574.32
  4. Step 4: Simplify right side
    389,360x = 89,119,145,498.34
  5. Step 5: Solve for x
    x = 89,119,145,498.34/389,360
  6. Step 6: Final answer
    x = 228,886.24

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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.