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Finding the Fourth Proportional to 346,464.50, 478,121.25 and 187,488.50

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Solution

The fourth proportional to 346,464.50, 478,121.25 and 187,488.50 is: 258,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,464.50 : 478,121.25 = 187,488.50 : x
  2. Step 2: Convert to fraction form
    346,464.50/478,121.25 = 187,488.50/x
  3. Step 3: Cross multiply
    346,464.50x = 478,121.25 × 187,488.50
  4. Step 4: Simplify right side
    346,464.50x = 89,642,235,980.63
  5. Step 5: Solve for x
    x = 89,642,235,980.63/346,464.50
  6. Step 6: Final answer
    x = 258,734.26

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1.5x scale

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.