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Finding the Fourth Proportional to 615,075.84, 922,767.36 and 171,840

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Solution

The fourth proportional to 615,075.84, 922,767.36 and 171,840 is: 257,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,075.84 : 922,767.36 = 171,840 : x
  2. Step 2: Convert to fraction form
    615,075.84/922,767.36 = 171,840/x
  3. Step 3: Cross multiply
    615,075.84x = 922,767.36 × 171,840
  4. Step 4: Simplify right side
    615,075.84x = 158,568,343,142.40
  5. Step 5: Solve for x
    x = 158,568,343,142.40/615,075.84
  6. Step 6: Final answer
    x = 257,802.91

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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.