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Finding the Fourth Proportional to 210,009.30, 315,013.95 and 157,521.30

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Solution

The fourth proportional to 210,009.30, 315,013.95 and 157,521.30 is: 236,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.30 : 315,013.95 = 157,521.30 : x
  2. Step 2: Convert to fraction form
    210,009.30/315,013.95 = 157,521.30/x
  3. Step 3: Cross multiply
    210,009.30x = 315,013.95 × 157,521.30
  4. Step 4: Simplify right side
    210,009.30x = 49,621,406,922.14
  5. Step 5: Solve for x
    x = 49,621,406,922.14/210,009.30
  6. Step 6: Final answer
    x = 236,281.95

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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.