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Finding the Fourth Proportional to 456,075.70, 684,113.55 and 288,114.10

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Solution

The fourth proportional to 456,075.70, 684,113.55 and 288,114.10 is: 432,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,075.70 : 684,113.55 = 288,114.10 : x
  2. Step 2: Convert to fraction form
    456,075.70/684,113.55 = 288,114.10/x
  3. Step 3: Cross multiply
    456,075.70x = 684,113.55 × 288,114.10
  4. Step 4: Simplify right side
    456,075.70x = 197,102,759,756.06
  5. Step 5: Solve for x
    x = 197,102,759,756.06/456,075.70
  6. Step 6: Final answer
    x = 432,171.15

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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.