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Finding the Fourth Proportional to 201,497.80, 302,465.40 and 157,320.40

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Solution

The fourth proportional to 201,497.80, 302,465.40 and 157,320.40 is: 236,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497.80 : 302,465.40 = 157,320.40 : x
  2. Step 2: Convert to fraction form
    201,497.80/302,465.40 = 157,320.40/x
  3. Step 3: Cross multiply
    201,497.80x = 302,465.40 × 157,320.40
  4. Step 4: Simplify right side
    201,497.80x = 47,583,977,714.16
  5. Step 5: Solve for x
    x = 47,583,977,714.16/201,497.80
  6. Step 6: Final answer
    x = 236,151.35

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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.