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Finding the Fourth Proportional to 540,373.16, 745,807.56 and 314,149.88

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Solution

The fourth proportional to 540,373.16, 745,807.56 and 314,149.88 is: 433,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,373.16 : 745,807.56 = 314,149.88 : x
  2. Step 2: Convert to fraction form
    540,373.16/745,807.56 = 314,149.88/x
  3. Step 3: Cross multiply
    540,373.16x = 745,807.56 × 314,149.88
  4. Step 4: Simplify right side
    540,373.16x = 234,295,355,477.09
  5. Step 5: Solve for x
    x = 234,295,355,477.09/540,373.16
  6. Step 6: Final answer
    x = 433,580.67

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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.