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Finding the Fourth Proportional to 406,840.80, 609,094.80 and 312,751.20

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Solution

The fourth proportional to 406,840.80, 609,094.80 and 312,751.20 is: 468,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840.80 : 609,094.80 = 312,751.20 : x
  2. Step 2: Convert to fraction form
    406,840.80/609,094.80 = 312,751.20/x
  3. Step 3: Cross multiply
    406,840.80x = 609,094.80 × 312,751.20
  4. Step 4: Simplify right side
    406,840.80x = 190,495,129,613.76
  5. Step 5: Solve for x
    x = 190,495,129,613.76/406,840.80
  6. Step 6: Final answer
    x = 468,230.15

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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.