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Finding the Fourth Proportional to 369,913.84, 510,482.84 and 208,775.68

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Solution

The fourth proportional to 369,913.84, 510,482.84 and 208,775.68 is: 288,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,913.84 : 510,482.84 = 208,775.68 : x
  2. Step 2: Convert to fraction form
    369,913.84/510,482.84 = 208,775.68/x
  3. Step 3: Cross multiply
    369,913.84x = 510,482.84 × 208,775.68
  4. Step 4: Simplify right side
    369,913.84x = 106,576,402,049.33
  5. Step 5: Solve for x
    x = 106,576,402,049.33/369,913.84
  6. Step 6: Final answer
    x = 288,111.42

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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.