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Finding the Fourth Proportional to 282,803.48, 390,271.47 and 155,480

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Solution

The fourth proportional to 282,803.48, 390,271.47 and 155,480 is: 214,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,803.48 : 390,271.47 = 155,480 : x
  2. Step 2: Convert to fraction form
    282,803.48/390,271.47 = 155,480/x
  3. Step 3: Cross multiply
    282,803.48x = 390,271.47 × 155,480
  4. Step 4: Simplify right side
    282,803.48x = 60,679,408,155.60
  5. Step 5: Solve for x
    x = 60,679,408,155.60/282,803.48
  6. Step 6: Final answer
    x = 214,563.87

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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.