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Finding the Fourth Proportional to 282,803, 390,270.68 and 153,741.74

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Solution

The fourth proportional to 282,803, 390,270.68 and 153,741.74 is: 212,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,803 : 390,270.68 = 153,741.74 : x
  2. Step 2: Convert to fraction form
    282,803/390,270.68 = 153,741.74/x
  3. Step 3: Cross multiply
    282,803x = 390,270.68 × 153,741.74
  4. Step 4: Simplify right side
    282,803x = 60,000,893,414.18
  5. Step 5: Solve for x
    x = 60,000,893,414.18/282,803
  6. Step 6: Final answer
    x = 212,164.98

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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.