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Finding the Fourth Proportional to 539,907.66, 745,041.89 and 310,428.48

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Solution

The fourth proportional to 539,907.66, 745,041.89 and 310,428.48 is: 428,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,907.66 : 745,041.89 = 310,428.48 : x
  2. Step 2: Convert to fraction form
    539,907.66/745,041.89 = 310,428.48/x
  3. Step 3: Cross multiply
    539,907.66x = 745,041.89 × 310,428.48
  4. Step 4: Simplify right side
    539,907.66x = 231,282,225,019.01
  5. Step 5: Solve for x
    x = 231,282,225,019.01/539,907.66
  6. Step 6: Final answer
    x = 428,373.67

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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.