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Finding the Fourth Proportional to 540,209.76, 810,075.94 and 287,430.32

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Solution

The fourth proportional to 540,209.76, 810,075.94 and 287,430.32 is: 431,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,209.76 : 810,075.94 = 287,430.32 : x
  2. Step 2: Convert to fraction form
    540,209.76/810,075.94 = 287,430.32/x
  3. Step 3: Cross multiply
    540,209.76x = 810,075.94 × 287,430.32
  4. Step 4: Simplify right side
    540,209.76x = 232,840,387,965.12
  5. Step 5: Solve for x
    x = 232,840,387,965.12/540,209.76
  6. Step 6: Final answer
    x = 431,018.48

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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.