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Finding the Fourth Proportional to 210,009.90, 315,014.85 and 185,078.10

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Solution

The fourth proportional to 210,009.90, 315,014.85 and 185,078.10 is: 277,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.90 : 315,014.85 = 185,078.10 : x
  2. Step 2: Convert to fraction form
    210,009.90/315,014.85 = 185,078.10/x
  3. Step 3: Cross multiply
    210,009.90x = 315,014.85 × 185,078.10
  4. Step 4: Simplify right side
    210,009.90x = 58,302,349,909.79
  5. Step 5: Solve for x
    x = 58,302,349,909.79/210,009.90
  6. Step 6: Final answer
    x = 277,617.15

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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.