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Finding the Fourth Proportional to 230,830.90, 346,246.35 and 185,730.10

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Solution

The fourth proportional to 230,830.90, 346,246.35 and 185,730.10 is: 278,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830.90 : 346,246.35 = 185,730.10 : x
  2. Step 2: Convert to fraction form
    230,830.90/346,246.35 = 185,730.10/x
  3. Step 3: Cross multiply
    230,830.90x = 346,246.35 × 185,730.10
  4. Step 4: Simplify right side
    230,830.90x = 64,308,369,210.14
  5. Step 5: Solve for x
    x = 64,308,369,210.14/230,830.90
  6. Step 6: Final answer
    x = 278,595.15

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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.