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Finding the Fourth Proportional to 385,157.70, 578,210.40 and 243,002.70

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Solution

The fourth proportional to 385,157.70, 578,210.40 and 243,002.70 is: 364,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,157.70 : 578,210.40 = 243,002.70 : x
  2. Step 2: Convert to fraction form
    385,157.70/578,210.40 = 243,002.70/x
  3. Step 3: Cross multiply
    385,157.70x = 578,210.40 × 243,002.70
  4. Step 4: Simplify right side
    385,157.70x = 140,506,688,368.08
  5. Step 5: Solve for x
    x = 140,506,688,368.08/385,157.70
  6. Step 6: Final answer
    x = 364,803.01

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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.