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Finding the Fourth Proportional to 1,047,216, 1,570,824 and 259,248

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Solution

The fourth proportional to 1,047,216, 1,570,824 and 259,248 is: 388,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,216 : 1,570,824 = 259,248 : x
  2. Step 2: Convert to fraction form
    1,047,216/1,570,824 = 259,248/x
  3. Step 3: Cross multiply
    1,047,216x = 1,570,824 × 259,248
  4. Step 4: Simplify right side
    1,047,216x = 407,232,980,352
  5. Step 5: Solve for x
    x = 407,232,980,352/1,047,216
  6. Step 6: Final answer
    x = 388,872

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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.