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Finding the Fourth Proportional to 648,196, 894,510.66 and 357,807.74

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Solution

The fourth proportional to 648,196, 894,510.66 and 357,807.74 is: 493,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,196 : 894,510.66 = 357,807.74 : x
  2. Step 2: Convert to fraction form
    648,196/894,510.66 = 357,807.74/x
  3. Step 3: Cross multiply
    648,196x = 894,510.66 × 357,807.74
  4. Step 4: Simplify right side
    648,196x = 320,062,837,660.51
  5. Step 5: Solve for x
    x = 320,062,837,660.51/648,196
  6. Step 6: Final answer
    x = 493,774.78

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1.5x scale

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.