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Finding the Fourth Proportional to 401,908.80, 602,863.20 and 307,430.40

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Solution

The fourth proportional to 401,908.80, 602,863.20 and 307,430.40 is: 461,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,908.80 : 602,863.20 = 307,430.40 : x
  2. Step 2: Convert to fraction form
    401,908.80/602,863.20 = 307,430.40/x
  3. Step 3: Cross multiply
    401,908.80x = 602,863.20 × 307,430.40
  4. Step 4: Simplify right side
    401,908.80x = 185,338,474,721.28
  5. Step 5: Solve for x
    x = 185,338,474,721.28/401,908.80
  6. Step 6: Final answer
    x = 461,145.60

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1.5x scale

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.