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Finding the Fourth Proportional to 438,210.84, 657,547.68 and 310,949.45

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Solution

The fourth proportional to 438,210.84, 657,547.68 and 310,949.45 is: 466,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,210.84 : 657,547.68 = 310,949.45 : x
  2. Step 2: Convert to fraction form
    438,210.84/657,547.68 = 310,949.45/x
  3. Step 3: Cross multiply
    438,210.84x = 657,547.68 × 310,949.45
  4. Step 4: Simplify right side
    438,210.84x = 204,464,089,444.78
  5. Step 5: Solve for x
    x = 204,464,089,444.78/438,210.84
  6. Step 6: Final answer
    x = 466,588.39

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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.