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Finding the Fourth Proportional to 285,312.78, 393,726.83 and 157,985.64

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Solution

The fourth proportional to 285,312.78, 393,726.83 and 157,985.64 is: 218,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,312.78 : 393,726.83 = 157,985.64 : x
  2. Step 2: Convert to fraction form
    285,312.78/393,726.83 = 157,985.64/x
  3. Step 3: Cross multiply
    285,312.78x = 393,726.83 × 157,985.64
  4. Step 4: Simplify right side
    285,312.78x = 62,203,184,432.79
  5. Step 5: Solve for x
    x = 62,203,184,432.79/285,312.78
  6. Step 6: Final answer
    x = 218,017.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.