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Finding the Fourth Proportional to 282,803.95, 390,271.69 and 153,742.40

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Solution

The fourth proportional to 282,803.95, 390,271.69 and 153,742.40 is: 212,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,803.95 : 390,271.69 = 153,742.40 : x
  2. Step 2: Convert to fraction form
    282,803.95/390,271.69 = 153,742.40/x
  3. Step 3: Cross multiply
    282,803.95x = 390,271.69 × 153,742.40
  4. Step 4: Simplify right side
    282,803.95x = 60,001,303,552.59
  5. Step 5: Solve for x
    x = 60,001,303,552.59/282,803.95
  6. Step 6: Final answer
    x = 212,165.72

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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.