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Finding the Fourth Proportional to 514,389.96, 771,303.06 and 159,305.40

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Solution

The fourth proportional to 514,389.96, 771,303.06 and 159,305.40 is: 238,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,389.96 : 771,303.06 = 159,305.40 : x
  2. Step 2: Convert to fraction form
    514,389.96/771,303.06 = 159,305.40/x
  3. Step 3: Cross multiply
    514,389.96x = 771,303.06 × 159,305.40
  4. Step 4: Simplify right side
    514,389.96x = 122,872,742,494.52
  5. Step 5: Solve for x
    x = 122,872,742,494.52/514,389.96
  6. Step 6: Final answer
    x = 238,870.80

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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.